Why is it against the law for a man living in Delhi to be buried in Mumbai?

An infinite number of mathematicians are standing behind a bar. The first asks the barman for half a pint of beer, the second for a quarter pint, the third an eighth, and so on. How many pints of beer will the barman need to fulfill all mathematicians' wishes?

In the image given, you can find several triangles. Can you count them all?

During a secret mission, an agent gave the following code to the higher authorities
AIM DUE OAT TIE MOD

However, the information is in one word only and the rest are fake. To assist the authorities in understanding better, he also sent them a clue, If I tell you any one character of the code, you can easily find out the number of vowels in the codeword.

Can you find out the code word?

He does not have any heart but still, He manages to live.
If you kill him, you will eventually die but yet you kill him.
He cannot run, who is He?

I am thinking of a five-digit number such that:
The first and last digits are the same, their submission is an even number and multiplication is an odd number and is equal to the fourth number. Subtract five from it and we obtain the second number. Then divide into exact halves and we get the 3rd number.

What number I am thinking of?

How high do you have to count before you use the letter “a” in the English spelling of the whole number?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Which digit occurred maximum times between the number 1 and 1000?

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?